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Finding the Fourth Proportional to 2,196.35, 3,294.54 and 735.51

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Solution

The fourth proportional to 2,196.35, 3,294.54 and 735.51 is: 1,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.35 : 3,294.54 = 735.51 : x
  2. Step 2: Convert to fraction form
    2,196.35/3,294.54 = 735.51/x
  3. Step 3: Cross multiply
    2,196.35x = 3,294.54 × 735.51
  4. Step 4: Simplify right side
    2,196.35x = 2,423,167.12
  5. Step 5: Solve for x
    x = 2,423,167.12/2,196.35
  6. Step 6: Final answer
    x = 1,103.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.